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103225001610 = 2354727919717
BaseRepresentation
bin110000000100010110…
…0001000011010001010
3100212102221001101202210
41200020230020122022
53142401100022420
6115230530005550
710313004015363
oct1401054103212
9325387041683
10103225001610
113a860905595
1218009a168b6
1399709c3113
144dd34b6b6a
152a424259e0
hex1808b0868a

103225001610 has 96 divisors (see below), whose sum is σ = 256340309760. Its totient is φ = 26598619008.

The previous prime is 103225001569. The next prime is 103225001617. The reversal of 103225001610 is 16100522301.

103225001610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103225001617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5225472 + ... + 5245188.

It is an arithmetic number, because the mean of its divisors is an integer number (2670211560).

Almost surely, 2103225001610 is an apocalyptic number.

103225001610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103225001610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128170154880).

103225001610 is an abundant number, since it is smaller than the sum of its proper divisors (153115308150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103225001610 is a wasteful number, since it uses less digits than its factorization.

103225001610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19900 (or 19853 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 103225001610 its reverse (16100522301), we get a palindrome (119325523911).

The spelling of 103225001610 in words is "one hundred three billion, two hundred twenty-five million, one thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 79 94 141 158 235 237 282 395 470 474 705 790 1185 1410 2209 2370 3713 4418 6627 7426 11045 11139 13254 18565 19717 22090 22278 33135 37130 39434 55695 59151 66270 98585 111390 118302 174511 197170 295755 349022 523533 591510 872555 926699 1047066 1557643 1745110 1853398 2617665 2780097 3115286 4633495 4672929 5235330 5560194 7788215 9266990 9345858 13900485 15576430 23364645 27800970 43554853 46729290 73209221 87109706 130664559 146418442 217774265 219627663 261329118 366046105 435548530 439255326 653322795 732092210 1098138315 1306645590 2196276630 3440833387 6881666774 10322500161 17204166935 20645000322 34408333870 51612500805 103225001610